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yaroslaw [1]
3 years ago
6

Which explicit formula is equivalent to ?WILL GIVE BRAINLEST

Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

c i think

Step-by-step explanation:

if im wrong a if its geometric and c if its arithmetic

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Find the sum of the following series. Round to the nearest hundredth if necessary,
Aneli [31]

Answer:

sum =   \frac{a( {r}^{n - 1} )}{r - 1}   \\  : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 =  {2}^{n - 1}  \\  {2}^{n}  = 32768 \\  {2}^{n}  =  {2}^{15}  \\ n = 15 \\  \therefore \: sum =  \frac{3(2 {}^{15 - 1}) }{15 - 1}  \\  =  \frac{49152}{14}  \\  = 3510.9

3 0
3 years ago
Last year, James earned £1,100 per month. This year, he's had a 4% increase in his monthly pay. He worked 40 hours per week for
avanturin [10]

Answer:

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

Step-by-step explanation:

Given;

Last year pay = £1,100 per month

This year, he's had a 4% increase in his monthly pay

This year pay P = 1,100 + 4% of 1,100 = 1,100 +1,100(0.04)

This year pay P = £1,144 per month

Yearly pay Tp= 12 × P = 12 × £1,144 = £13,728

Number of hours worked this year;

He worked 40 hours per week for 48 weeks in the year

N = 40 hours per week × 48 weeks per year

N = 1920 hours per year

Average pay per hour this year A;

A = Yearly pay/Number of hours worked this year

A = Tp/N

A = £13,728/1920hours

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

5 0
2 years ago
The formula for finding the number of bacteria present is given by P=P0(10)t where P is the final population, P0 is the initial
frozen [14]

Answer:

5.45 hours.

Step-by-step explanation:

The formula =

P = P0(10)t

In this circumstance, P0 = 275, P = 15,000 and t = ?

Applying the values into the formula:

P = P0(10)t

15,000 = 275 × (10) × t

15,000 = 2750t

t = 15,000/2750

t = 5.45 hours

3 0
2 years ago
Step by step explanation please
galina1969 [7]

Two equal triangles

2(1/2×b×h)

=2(1/2×8×10)

= 80 {cm}^{2}

Three rectangles

=3(l×h)

=3(18×8)

=3(144)

432 {cm}^{2}

Total Surface area

80 {cm}^{2}   +  432 {cm}^{2} \\ 512 {cm}^{2}

8 0
3 years ago
Order pair of x=y+2 and 2y=x-1
EastWind [94]
<span>x=y+2
2y=x-1
substitute </span>x=y+2  into 2y=x-1

2y=x-1
2y=y+2 -1
2y - y = 1
y = 1

<span>x=y+2
</span><span>x=1+2
x=3

answer
x = 3 and y = 1</span>
5 0
3 years ago
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